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20082022
most citedStationary Black Holes: Uniqueness and Beyond

522 citations

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6 papers · 1 filter

math.SG2012★ 8 cited

Displacing Lagrangian toric fibers by extended probes

Miguel Abreu, Matthew Strom Borman, Dusa McDuff

In this paper we introduce a new way of displacing Lagrangian fibers in toric symplectic manifolds, a generalization of McDuff's original method of probes. Extended probes are form…

math.SG2011★ 5 cited

On invariants of almost symplectic connections

Rui Albuquerque, Roger Picken

We study the irreducible decomposition under Sp(2n, R) of the space of torsion tensors of almost symplectic connections. Then a description of all symplectic quadratic invariants o…

math.SG2011★ 4 cited

Remarks on Lagrangian intersections in toric manifolds

Miguel Abreu, Leonardo Macarini

We consider two natural Lagrangian intersection problems in the context of symplectic toric manifolds: displaceability of torus orbits and of a torus orbit with the real part of th…

math.SG2011★ 2 cited

Pseudo-distances on symplectomorphism groups and applications to flux theory

Guy Buss, Rémi Leclercq

Starting from a given norm on the vector space of exact 1-forms of a compact symplectic manifold, we produce pseudo-distances on its symplectomorphism group by generalizing an idea…

math.SG2010★ 31 cited

Contact homology of good toric contact manifolds

Miguel Abreu, Leonardo Macarini

In this paper we show that any good toric contact manifold has well defined cylindrical contact homology and describe how it can be combinatorially computed from the associated mom…

math.SG2008★ 17 cited

The homotopy type of the space of symplectic balls in rational ruled 4-manifolds

Silvia Anjos, Francois Lalonde, Martin Pinsonnault

Let M:=(M^{4},\om) be a 4-dimensional rational ruled symplectic manifold and denote by w_{M} its Gromov width. Let Emb_ω(B^{4}(c),M) be the space of symplectic embeddings of the st…